565380 has 60 divisors (see below), whose sum is σ = 1778700. Its totient is φ = 150336.

The previous prime is 565379. The next prime is 565381. The reversal of 565380 is 83565.

565380 is a `hidden beast` number, since 5 + 653 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (565379) and next prime (565381).

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 254016 = 558^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1446 + ... + 1794.

It is an arithmetic number, because the mean of its divisors is an integer number (29645).

2⁵⁶⁵³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889350).

565380 is an abundant number, since it is smaller than the sum of its proper divisors (1213320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

565380 is a wasteful number, since it uses less digits than its factorization.

565380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 565380 is about 751.9175486714. The cubic root of 565380 is about 82.6888236942.

The spelling of 565380 in words is "five hundred sixty-five thousand, three hundred eighty".